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Simplifying -2 + 5(-4m + 9) = -11(1 + m) Reorder the terms: -2 + 5(9 + -4m) = -11(1 + m) -2 + (9 * 5 + -4m * 5) = -11(1 + m) -2 + (45 + -20m) = -11(1 + m) Combine like terms: -2 + 45 = 43 43 + -20m = -11(1 + m) 43 + -20m = (1 * -11 + m * -11) 43 + -20m = (-11 + -11m) Solving 43 + -20m = -11 + -11m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '11m' to each side of the equation. 43 + -20m + 11m = -11 + -11m + 11m Combine like terms: -20m + 11m = -9m 43 + -9m = -11 + -11m + 11m Combine like terms: -11m + 11m = 0 43 + -9m = -11 + 0 43 + -9m = -11 Add '-43' to each side of the equation. 43 + -43 + -9m = -11 + -43 Combine like terms: 43 + -43 = 0 0 + -9m = -11 + -43 -9m = -11 + -43 Combine like terms: -11 + -43 = -54 -9m = -54 Divide each side by '-9'. m = 6 Simplifying m = 6
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